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Finding the Fourth Proportional to 151,672.48, 227,507.76 and 51,784.48

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Solution

The fourth proportional to 151,672.48, 227,507.76 and 51,784.48 is: 77,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,672.48 : 227,507.76 = 51,784.48 : x
  2. Step 2: Convert to fraction form
    151,672.48/227,507.76 = 51,784.48/x
  3. Step 3: Cross multiply
    151,672.48x = 227,507.76 × 51,784.48
  4. Step 4: Simplify right side
    151,672.48x = 11,781,371,047.56
  5. Step 5: Solve for x
    x = 11,781,371,047.56/151,672.48
  6. Step 6: Final answer
    x = 77,676.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.